EXISTENCE OF SIGN-CHANGING SOLUTIONS FOR THE NONLINEAR p-LAPLACIAN BOUNDARY VALUE PROBLEM

被引：1
|
作者：
Lian, Wei-Cheng [1 ]
Wang, Wei-Chuan [2 ]
Cheng, Yan-Hsiou [3 ]
机构：
[1] Natl Kaohsiung Marine Univ, Dept Informat Management, Kaohsiung 811, Taiwan
[2] Natl Quemoy Univ, Ctr Gen Educ, Kinmen 892, Taiwan
[3] Natl Taipei Univ Educ, Dept Math & Informat Educ, Taipei 106, Taiwan
来源：
ANALYSIS AND APPLICATIONS | 2013年 / 11卷 / 02期
关键词：
Existence; sign-changing solutions; nonlinear p-Laplacian; boundary value problem; POSITIVE SOLUTIONS; EQUATIONS;
D O I：
10.1142/S0219530513500048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the nonlinear one-dimensional p-Laplacian equation -(y'((p-1)))' + (p - 1)q(x)y((p-1)) = (p - 1)w(x)f(y) on (0,1), where p > 1, y((p-1)) = vertical bar y vertical bar(p-1)sgn y = vertical bar y vertical bar(p-2)y, with linear separated boundary conditions. We give sufficient conditions for the existence of solutions with prescribed nodal properties concerning the behavior of f(s)/s((p-1)) when s is at infinity and zero, respectively. These results are more general and complementary than previous known ones for the case when p = 2 and q is nonnegative.
引用
收藏
页数：15
相关论文
共 50 条
  • [41] Existence of Positive Solutions to Singular p-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity
    Wei, Qiying
    Su, You-Hui
    Li, Subei
    Yan, Xing-Xue
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2009,
  • [42] Solutions for a nonlinear fractional boundary value problem with sign-changing Greens function
    Ding, Youzheng
    Wei, Zhongli
    Zhao, Qingli
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 650 - 659
  • [43] Weak solutions for a fractional p-Laplacian equation with sign-changing potential
    Xu, Jiafa
    Wei, Zhongli
    Dong, Wei
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2016, 61 (02) : 284 - 296
  • [44] Existence of solutions for a third-order boundary value problem with p-Laplacian operator and nonlinear boundary conditions
    Ma, De-Xiang
    Sun, Shu-Zhen
    [J]. PORTUGALIAE MATHEMATICA, 2009, 66 (01) : 13 - 27
  • [45] Existence of Positive Solutions for the Nonlinear Fractional Boundary Value Problems with p-Laplacian
    Chakuvinga, Tawanda Gallan
    Topal, Fatma Serap
    [J]. FILOMAT, 2021, 35 (09) : 2927 - 2949
  • [46] Three positive solutions for one-dimensional p-Laplacian problem with sign-changing weight
    Sim, Inbo
    Tanaka, Satoshi
    [J]. APPLIED MATHEMATICS LETTERS, 2015, 49 : 42 - 50
  • [47] The existence of positive solutions for nonlinear singular boundary value system with p-Laplacian
    Su, Hua
    Wei, Zhongli
    Xu, Fuyi
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (02) : 826 - 836
  • [48] Sign-changing solutions for a class of p-Laplacian Kirchhoff-type problem with logarithmic nonlinearity
    Li, Ya-Lei
    Wang, Da-Bin
    Zhang, Jin-Long
    [J]. AIMS MATHEMATICS, 2020, 5 (03): : 2100 - 2112
  • [49] Existence of Three Solutions for Singular p-Laplacian Equations with Boundary Value Problem
    Xia, Dafeng
    Tang, Yulian
    Hong, Zikang
    [J]. PROCEEDINGS OF THE 2010 INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS AND PHYSICS, VOL 2: ADVANCES ON APPLIED MATHEMATICS AND COMPUTATION MATHEMATICS, 2010, : 85 - 88
  • [50] The Brézis–Nirenberg type problem for the p-Laplacian: infinitely many sign-changing solutions
    Tieshan He
    Lang He
    Meng Zhang
    [J]. Calculus of Variations and Partial Differential Equations, 2020, 59
12345